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Finding the Fourth Proportional to 4,023.63, 6,035.36 and 1,832.94

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Solution

The fourth proportional to 4,023.63, 6,035.36 and 1,832.94 is: 2,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.63 : 6,035.36 = 1,832.94 : x
  2. Step 2: Convert to fraction form
    4,023.63/6,035.36 = 1,832.94/x
  3. Step 3: Cross multiply
    4,023.63x = 6,035.36 × 1,832.94
  4. Step 4: Simplify right side
    4,023.63x = 11,062,443.59
  5. Step 5: Solve for x
    x = 11,062,443.59/4,023.63
  6. Step 6: Final answer
    x = 2,749.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.